72124120 has 16 divisors (see below), whose sum is σ = 162279360. Its totient is φ = 28849632.

The previous prime is 72124111. The next prime is 72124121. The reversal of 72124120 is 2142127.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72124121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901512 + ... + 901591.

It is an arithmetic number, because the mean of its divisors is an integer number (10142460).

Almost surely, 2^72124120 is an apocalyptic number.

It is an amenable number.

72124120 is an abundant number, since it is smaller than the sum of its proper divisors (90155240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72124120 is a wasteful number, since it uses less digits than its factorization.

72124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803114 (or 1803110 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 72124120 is about 8492.5920660303. The cubic root of 72124120 is about 416.2556829327.

Adding to 72124120 its reverse (2142127), we get a palindrome (74266247).

It can be divided in two parts, 72124 and 120, that multiplied together give a triangular number (8654880 = T₄₁₆₀).

The spelling of 72124120 in words is "seventy-two million, one hundred twenty-four thousand, one hundred twenty".